205742306 has 16 divisors (see below), whose sum is σ = 384765120. Its totient is φ = 80159280.

The previous prime is 205742297. The next prime is 205742323. The reversal of 205742306 is 603247502.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667841 + ... + 668148.

It is an arithmetic number, because the mean of its divisors is an integer number (24047820).

Almost surely, 2^205742306 is an apocalyptic number.

205742306 is a deficient number, since it is larger than the sum of its proper divisors (179022814).

205742306 is a wasteful number, since it uses less digits than its factorization.

205742306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336009.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 205742306 is about 14343.7200892934. The cubic root of 205742306 is about 590.3476893483.

Adding to 205742306 its reverse (603247502), we get a palindrome (808989808).

The spelling of 205742306 in words is "two hundred five million, seven hundred forty-two thousand, three hundred six".